GCD of 36, 734, 341, 420 Calculator

Given Input numbers are 36, 734, 341, 420

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 36, 734, 341, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 734, 341, 420 is 1.

Therefore, GCD of numbers 36, 734, 341, 420 is 1

Given Input Data is 36, 734, 341, 420

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 734 is 2 x 367

Prime Factorization of 341 is 11 x 31

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(36, 734) = 13212

GCD(36, 734) = ( 36 x 734 ) / 13212

GCD(36, 734) = 26424 / 13212

GCD(36, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 341

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 341) = 682

GCD(2, 341) = ( 2 x 341 ) / 682

GCD(2, 341) = 682 / 682

GCD(2, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 36, 734, 341, 420 is 1

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• GCD of 73, 741, 271, 575
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1. What is the GCD of 36, 734, 341, 420?

GCD of 36, 734, 341, 420 is 1

2. Where do I get the detailed procedure to find GCD of 36, 734, 341, 420?

You can find a detailed procedure to find GCD of 36, 734, 341, 420 on our page.

3. How to find GCD of 36, 734, 341, 420 on a calculator?

You can find the GCD of 36, 734, 341, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.